\begin{table}[htpb]\begin{center} \caption{Mediation Analysis}\label{table:table8}\begin{tabular}{lccccc} \toprule
&  ATE  & ACDE (g-est) & ATE & ACDE (g-est) \\ &  (1) & (2) & (3) & (4)  \\ \midrule & \multicolumn{4}{c}{A. Has visited FP clinic}  \\ 
MIL                      &      -0.066*  &      -0.050   &      -0.079*  &      -0.064   \\
                         &     [0.037]   &     [0.038]   &     [0.040]   &     [0.040]   \\
[1em]
WC Bootstrap             &               &     (0.041)   &               &               \\
N                        &         671   &         671   &         671   &         671   \\
decline                  &               &        24\%   &               &        19\%   \\
p-value                  &               &      0.0002   &               &      0.0002   \\


 & \multicolumn{4}{c}{B. Uses modern method} \\ 
MIL                      &      -0.005   &       0.004   &      -0.011   &      -0.002   \\
                         &     [0.047]   &     [0.047]   &     [0.049]   &     [0.050]   \\
[1em]
WC Bootstrap             &               &     (0.036)   &               &               \\
N                        &         670   &         670   &         670   &         670   \\
p-value                  &               &      0.0006   &               &      0.0009   \\


 & \multicolumn{4}{c}{C. Beliefs about FP use in village}  \\ 
MIL                      &      -0.436** &      -0.412** &      -0.478** &      -0.458** \\
                         &     [0.180]   &     [0.178]   &     [0.187]   &     [0.185]   \\
[1em]
WC Bootstrap             &               &     (0.169)   &               &               \\
N                        &         671   &         671   &         671   &         671   \\
decline                  &               &         6\%   &               &         4\%   \\
p-value                  &               &      0.0002   &               &      0.0002   \\


 & \multicolumn{4}{c}{D. allowed to visit health facility with someone}  \\ 
MIL                      &      -0.020** &      -0.017*  &      -0.023** &      -0.020** \\
                         &     [0.009]   &     [0.009]   &     [0.010]   &     [0.010]   \\
[1em]
WC Bootstrap             &               &     (0.010)   &               &               \\
N                        &         671   &         671   &         671   &         671   \\
decline                  &               &        14\%   &               &        13\%   \\
p-value                  &               &      0.0002   &               &      0.0002   \\
\bottomrule \\[-5ex] \end{tabular} \end{center} \begin{tablenotes} The p-values test if the estimates of ACDE from sequential g-estimation are significantly different from the estimated ATE. In columns (3) and (4), the specification includes Caste x Village FE. Standard errors in brackets are clustered at the village level and in parentheses are bootstrapped.\sym{*}\(p<0.1\),\sym{**}\(p<0.05\),\sym{***}\(p<0.01\). \end{tablenotes} \end{table}
